TSTP Solution File: GRP293-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP293-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 00:59:10 EDT 2023
% Result : Unsatisfiable 9.95s 2.23s
% Output : CNFRefutation 9.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 41
% Syntax : Number of clauses : 236 ( 32 unt; 120 nHn; 213 RR)
% Number of literals : 562 ( 510 equ; 201 neg)
% Maximal clause size : 12 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 91 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c2,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c2,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_81,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_84,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_85,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| multiply(X1,sk_c8) != sk_c6
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,sk_c8) != X4
| multiply(sk_c8,X4) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c8,sk_c6) != sk_c7
| multiply(sk_c7,sk_c8) != sk_c6
| inverse(X0) != sk_c8
| inverse(X1) != sk_c8
| inverse(X2) != sk_c7
| inverse(X3) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_86,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_87,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_88,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_89,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| multiply(X1,sk_c8) != sk_c7
| multiply(X2,sk_c8) != sk_c6
| multiply(X3,sk_c7) != sk_c8
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c8,sk_c6) != sk_c7
| multiply(sk_c7,sk_c8) != sk_c6
| inverse(X0) != sk_c8
| inverse(X1) != sk_c8
| inverse(X2) != sk_c8
| inverse(X3) != sk_c7 ),
inference(unflattening,[status(thm)],[c_85]) ).
cnf(c_434,negated_conjecture,
( multiply(X0,sk_c8) != sk_c6
| inverse(X0) != sk_c8
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_89]) ).
cnf(c_435,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_89]) ).
cnf(c_436,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c7
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_89]) ).
cnf(c_437,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| inverse(X0) != sk_c8
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_89]) ).
cnf(c_438,negated_conjecture,
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(sk_c8,sk_c6) != sk_c7
| multiply(sk_c7,sk_c8) != sk_c6
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_89]) ).
cnf(c_439,plain,
X0 = X0,
theory(equality) ).
cnf(c_440,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_441,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_445,plain,
sk_c8 = sk_c8,
inference(instantiation,[status(thm)],[c_439]) ).
cnf(c_859,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_87,c_88]) ).
cnf(c_980,plain,
( multiply(sk_c8,sk_c7) != X0
| sk_c6 != X0
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_982,plain,
( multiply(sk_c8,sk_c7) != multiply(sk_c8,sk_c7)
| sk_c6 != multiply(sk_c8,sk_c7)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(instantiation,[status(thm)],[c_980]) ).
cnf(c_983,plain,
multiply(sk_c8,sk_c7) = multiply(sk_c8,sk_c7),
inference(instantiation,[status(thm)],[c_439]) ).
cnf(c_984,plain,
( multiply(sk_c8,sk_c7) != X0
| X1 != X0
| multiply(sk_c8,sk_c7) = X1 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_986,plain,
( sk_c8 != X0
| sk_c7 != X1
| multiply(sk_c8,sk_c7) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_441]) ).
cnf(c_989,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_859,c_86]) ).
cnf(c_1001,plain,
( multiply(inverse(sk_c3),sk_c8) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_50,c_989]) ).
cnf(c_1008,plain,
( multiply(inverse(sk_c4),sk_c5) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(superposition,[status(thm)],[c_71,c_989]) ).
cnf(c_1009,plain,
( multiply(inverse(sk_c4),sk_c5) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(superposition,[status(thm)],[c_53,c_989]) ).
cnf(c_1010,plain,
( multiply(inverse(sk_c4),sk_c5) = sk_c8
| inverse(sk_c2) = sk_c8 ),
inference(superposition,[status(thm)],[c_83,c_989]) ).
cnf(c_1011,plain,
( multiply(inverse(sk_c4),sk_c5) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(superposition,[status(thm)],[c_65,c_989]) ).
cnf(c_1012,plain,
( multiply(inverse(sk_c1),sk_c7) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c5 ),
inference(superposition,[status(thm)],[c_59,c_989]) ).
cnf(c_1013,plain,
( multiply(inverse(sk_c1),sk_c7) = sk_c8
| multiply(sk_c8,sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_58,c_989]) ).
cnf(c_1014,plain,
( multiply(inverse(sk_c1),sk_c7) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_56,c_989]) ).
cnf(c_1015,plain,
( multiply(inverse(sk_c1),sk_c7) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_55,c_989]) ).
cnf(c_1016,plain,
( multiply(inverse(sk_c1),sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_60,c_989]) ).
cnf(c_1017,plain,
( multiply(inverse(sk_c1),sk_c7) = sk_c8
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_57,c_989]) ).
cnf(c_1021,plain,
( multiply(inverse(sk_c2),sk_c6) = sk_c8
| multiply(sk_c8,sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_76,c_989]) ).
cnf(c_1022,plain,
( multiply(inverse(sk_c2),sk_c6) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_74,c_989]) ).
cnf(c_1023,plain,
( multiply(inverse(sk_c2),sk_c6) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_73,c_989]) ).
cnf(c_1024,plain,
( multiply(inverse(sk_c2),sk_c6) = sk_c8
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_78,c_989]) ).
cnf(c_1025,plain,
( multiply(inverse(sk_c2),sk_c6) = sk_c8
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_75,c_989]) ).
cnf(c_1026,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_86,c_989]) ).
cnf(c_1027,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_87,c_989]) ).
cnf(c_1028,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_88,c_989]) ).
cnf(c_1033,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_989,c_989]) ).
cnf(c_1113,plain,
( multiply(sk_c8,sk_c7) != X0
| sk_c6 != X0
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_1124,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_439]) ).
cnf(c_1125,plain,
( X0 != X1
| sk_c7 != X1
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_1126,plain,
( multiply(X0,X1) != X2
| sk_c6 != X2
| sk_c6 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_1129,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_1113]) ).
cnf(c_1130,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_439]) ).
cnf(c_1131,plain,
( X0 != X1
| sk_c6 != X1
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_1135,plain,
( multiply(sk_c8,sk_c7) != X0
| X1 != X0
| X1 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_1136,plain,
( multiply(sk_c8,sk_c7) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_1135]) ).
cnf(c_1142,plain,
( multiply(sk_c8,sk_c7) != multiply(X0,sk_c7)
| X1 != multiply(X0,sk_c7)
| multiply(sk_c8,sk_c7) = X1 ),
inference(instantiation,[status(thm)],[c_984]) ).
cnf(c_1148,plain,
( X0 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_1125]) ).
cnf(c_1149,plain,
( sk_c8 != sk_c7
| sk_c7 != sk_c7
| sk_c7 = sk_c8 ),
inference(instantiation,[status(thm)],[c_1148]) ).
cnf(c_1158,plain,
( X0 != X1
| X2 != sk_c7
| multiply(X0,X2) = multiply(X1,sk_c7) ),
inference(instantiation,[status(thm)],[c_441]) ).
cnf(c_1163,plain,
( multiply(X0,X1) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_1126]) ).
cnf(c_1171,plain,
( multiply(sk_c8,sk_c5) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(instantiation,[status(thm)],[c_1148]) ).
cnf(c_1172,plain,
( multiply(identity,sk_c7) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_1148]) ).
cnf(c_1173,plain,
multiply(identity,sk_c7) = sk_c7,
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_1175,plain,
( X0 != X1
| sk_c7 != X1
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_1183,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_1027,c_1033]) ).
cnf(c_1191,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_1183,c_1026]) ).
cnf(c_1206,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1033,c_87]) ).
cnf(c_1209,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1033,c_989]) ).
cnf(c_1210,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1033,c_1183]) ).
cnf(c_1211,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1210,c_1183]) ).
cnf(c_1296,plain,
( inverse(sk_c2) != sk_c8
| ~ sP0_iProver_split
| multiply(sk_c8,sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_76,c_434]) ).
cnf(c_1299,plain,
( inverse(sk_c2) != sk_c8
| ~ sP0_iProver_split
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_78,c_434]) ).
cnf(c_1300,plain,
( inverse(sk_c2) != sk_c8
| ~ sP0_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_75,c_434]) ).
cnf(c_1302,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c6 != identity
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_87,c_434]) ).
cnf(c_1320,plain,
( sk_c6 != identity
| ~ sP0_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_1302,c_1211]) ).
cnf(c_1389,plain,
( X0 != multiply(sk_c8,sk_c5)
| sk_c7 != multiply(sk_c8,sk_c5)
| sk_c7 = X0 ),
inference(instantiation,[status(thm)],[c_1125]) ).
cnf(c_1392,plain,
( sk_c8 != multiply(sk_c8,sk_c5)
| sk_c7 != multiply(sk_c8,sk_c5)
| sk_c7 = sk_c8 ),
inference(instantiation,[status(thm)],[c_1389]) ).
cnf(c_1439,plain,
( inverse(sk_c1) != sk_c8
| ~ sP1_iProver_split
| multiply(sk_c8,sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_58,c_435]) ).
cnf(c_1442,plain,
( inverse(sk_c1) != sk_c8
| ~ sP1_iProver_split
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_60,c_435]) ).
cnf(c_1443,plain,
( inverse(sk_c1) != sk_c8
| ~ sP1_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_57,c_435]) ).
cnf(c_1451,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c7 != identity
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_87,c_435]) ).
cnf(c_1463,plain,
( sk_c7 != identity
| ~ sP1_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_1451,c_1211]) ).
cnf(c_1538,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| sk_c6 != sk_c6
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(instantiation,[status(thm)],[c_1163]) ).
cnf(c_1551,plain,
( X0 != multiply(sk_c8,sk_c5)
| sk_c7 != multiply(sk_c8,sk_c5)
| X0 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1175]) ).
cnf(c_1552,plain,
( sk_c8 != multiply(sk_c8,sk_c5)
| sk_c7 != multiply(sk_c8,sk_c5)
| sk_c8 = sk_c7 ),
inference(instantiation,[status(thm)],[c_1551]) ).
cnf(c_1648,plain,
( inverse(identity) != sk_c7
| sk_c8 != sk_c7
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_86,c_436]) ).
cnf(c_1651,plain,
( sk_c8 != sk_c7
| sk_c7 != identity
| ~ sP2_iProver_split ),
inference(light_normalisation,[status(thm)],[c_1648,c_1191]) ).
cnf(c_1943,plain,
( multiply(sk_c8,sk_c6) != sk_c7
| inverse(sk_c2) != sk_c8
| ~ sP3_iProver_split
| multiply(sk_c8,sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_76,c_437]) ).
cnf(c_1946,plain,
( multiply(sk_c8,sk_c6) != sk_c7
| inverse(sk_c2) != sk_c8
| ~ sP3_iProver_split
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_78,c_437]) ).
cnf(c_1949,plain,
( multiply(sk_c8,identity) != sk_c7
| inverse(inverse(sk_c8)) != sk_c8
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_87,c_437]) ).
cnf(c_1955,plain,
( multiply(sk_c8,identity) != sk_c7
| ~ sP3_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_1949,c_1211]) ).
cnf(c_2056,plain,
( X0 != X1
| sk_c7 != sk_c7
| multiply(X0,sk_c7) = multiply(X1,sk_c7) ),
inference(instantiation,[status(thm)],[c_1158]) ).
cnf(c_2065,plain,
( multiply(sk_c8,sk_c7) != multiply(identity,sk_c7)
| sk_c7 != multiply(identity,sk_c7)
| multiply(sk_c8,sk_c7) = sk_c7 ),
inference(instantiation,[status(thm)],[c_1142]) ).
cnf(c_2099,plain,
( X0 != X1
| sk_c6 != X1
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_2126,plain,
( multiply(sk_c8,sk_c7) != multiply(sk_c7,sk_c8)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_1113]) ).
cnf(c_2130,plain,
( X0 != multiply(sk_c7,sk_c8)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_1131]) ).
cnf(c_2218,plain,
( multiply(sk_c1,sk_c8) = identity
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_66,c_1206]) ).
cnf(c_2219,plain,
( multiply(sk_c1,sk_c8) = identity
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_63,c_1206]) ).
cnf(c_2220,plain,
( multiply(sk_c2,sk_c8) = identity
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_84,c_1206]) ).
cnf(c_2221,plain,
( multiply(sk_c2,sk_c8) = identity
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_81,c_1206]) ).
cnf(c_2324,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c8 != sk_c7
| ~ sP3_iProver_split ),
inference(superposition,[status(thm)],[c_1209,c_437]) ).
cnf(c_2345,plain,
( sk_c8 != sk_c7
| ~ sP3_iProver_split ),
inference(forward_subsumption_resolution,[status(thm)],[c_2324,c_1211]) ).
cnf(c_2370,plain,
( multiply(sk_c8,sk_c5) != X0
| X1 != X0
| X1 = multiply(sk_c8,sk_c5) ),
inference(instantiation,[status(thm)],[c_440]) ).
cnf(c_2371,plain,
( multiply(sk_c8,sk_c5) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(sk_c8,sk_c5) ),
inference(instantiation,[status(thm)],[c_2370]) ).
cnf(c_2391,plain,
( inverse(sk_c4) = sk_c8
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2218,c_60]) ).
cnf(c_2449,plain,
( inverse(sk_c3) = sk_c7
| sk_c7 = identity ),
inference(superposition,[status(thm)],[c_2219,c_57]) ).
cnf(c_2529,plain,
( inverse(sk_c4) = sk_c8
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2220,c_78]) ).
cnf(c_2592,plain,
( inverse(sk_c3) = sk_c7
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_2221,c_75]) ).
cnf(c_2651,plain,
( multiply(sk_c8,sk_c7) != sk_c7
| X0 != sk_c7
| X0 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_1135]) ).
cnf(c_2653,plain,
( multiply(sk_c8,sk_c7) != sk_c7
| sk_c6 != sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(instantiation,[status(thm)],[c_980]) ).
cnf(c_2655,plain,
( multiply(sk_c8,sk_c7) != sk_c7
| sk_c8 != sk_c7
| sk_c8 = multiply(sk_c8,sk_c7) ),
inference(instantiation,[status(thm)],[c_2651]) ).
cnf(c_2950,plain,
( X0 != identity
| sk_c7 != sk_c7
| multiply(X0,sk_c7) = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_2056]) ).
cnf(c_2952,plain,
( sk_c8 != identity
| sk_c7 != sk_c7
| multiply(sk_c8,sk_c7) = multiply(identity,sk_c7) ),
inference(instantiation,[status(thm)],[c_2950]) ).
cnf(c_3917,plain,
( multiply(sk_c8,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_66,c_1016]) ).
cnf(c_3971,plain,
( inverse(sk_c4) = sk_c8
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_3917,c_54]) ).
cnf(c_3975,plain,
( inverse(sk_c8) != sk_c7
| ~ sP2_iProver_split
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_3917,c_436]) ).
cnf(c_4022,plain,
( multiply(sk_c8,sk_c5) = sk_c8
| inverse(sk_c1) = sk_c8
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_3971,c_1011]) ).
cnf(c_4023,plain,
( multiply(sk_c8,sk_c5) = sk_c8
| inverse(sk_c2) = sk_c8
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_3971,c_1010]) ).
cnf(c_4025,plain,
( multiply(sk_c4,sk_c8) = identity
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_3971,c_1206]) ).
cnf(c_4072,plain,
( X0 != multiply(X1,sk_c7)
| sk_c6 != multiply(X1,sk_c7)
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_2099]) ).
cnf(c_4075,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c8 = sk_c6 ),
inference(instantiation,[status(thm)],[c_4072]) ).
cnf(c_4088,plain,
( multiply(sk_c8,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_63,c_1017]) ).
cnf(c_4111,plain,
( inverse(sk_c3) = sk_c7
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_4088,c_51]) ).
cnf(c_4114,plain,
( inverse(sk_c8) != sk_c7
| ~ sP2_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_4088,c_436]) ).
cnf(c_4144,plain,
( multiply(sk_c3,sk_c7) = identity
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_4111,c_1206]) ).
cnf(c_4607,plain,
( multiply(sk_c8,sk_c6) = sk_c8
| inverse(sk_c4) = sk_c8 ),
inference(superposition,[status(thm)],[c_84,c_1024]) ).
cnf(c_4667,plain,
( inverse(sk_c4) = sk_c8
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_4607,c_72]) ).
cnf(c_4687,plain,
( multiply(sk_c8,sk_c5) = sk_c8
| inverse(sk_c1) = sk_c8
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_4667,c_1011]) ).
cnf(c_4690,plain,
( multiply(sk_c4,sk_c8) = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_4667,c_1206]) ).
cnf(c_4732,plain,
( multiply(sk_c8,sk_c6) = sk_c8
| inverse(sk_c3) = sk_c7 ),
inference(superposition,[status(thm)],[c_81,c_1025]) ).
cnf(c_4750,plain,
( inverse(sk_c3) = sk_c7
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_4732,c_69]) ).
cnf(c_4772,plain,
( multiply(sk_c3,sk_c7) = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_4750,c_1206]) ).
cnf(c_5500,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c7,sk_c8) = sk_c7
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_4750,c_1001]) ).
cnf(c_5797,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c8,sk_c5) = sk_c8
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_4667,c_1009]) ).
cnf(c_6698,plain,
( inverse(inverse(sk_c1)) != sk_c7
| ~ sP2_iProver_split
| multiply(sk_c8,sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_1013,c_436]) ).
cnf(c_6829,plain,
( multiply(inverse(inverse(sk_c2)),sk_c8) = sk_c6
| multiply(sk_c3,sk_c7) = sk_c8 ),
inference(superposition,[status(thm)],[c_1022,c_989]) ).
cnf(c_7243,plain,
( multiply(inverse(multiply(X0,inverse(sk_c1))),multiply(X0,sk_c8)) = sk_c7
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_1015,c_1028]) ).
cnf(c_7245,plain,
( multiply(inverse(multiply(X0,inverse(sk_c1))),multiply(X0,sk_c8)) = sk_c7
| multiply(sk_c8,sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_1013,c_1028]) ).
cnf(c_7249,plain,
( multiply(inverse(multiply(X0,inverse(sk_c2))),multiply(X0,sk_c8)) = sk_c6
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_1023,c_1028]) ).
cnf(c_7251,plain,
( multiply(inverse(multiply(X0,inverse(sk_c2))),multiply(X0,sk_c8)) = sk_c6
| multiply(sk_c8,sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_1021,c_1028]) ).
cnf(c_7257,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
inference(superposition,[status(thm)],[c_1206,c_1028]) ).
cnf(c_7282,plain,
multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_7257,c_1183]) ).
cnf(c_9127,plain,
( inverse(sk_c2) = sk_c8
| sk_c8 = sk_c6
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_4025,c_83]) ).
cnf(c_9128,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = sk_c6
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_4025,c_65]) ).
cnf(c_9240,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = sk_c6
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_4144,c_50]) ).
cnf(c_9241,plain,
( inverse(sk_c2) = sk_c8
| sk_c8 = sk_c6
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_4144,c_80]) ).
cnf(c_9242,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = sk_c6
| sk_c8 = identity ),
inference(superposition,[status(thm)],[c_4144,c_62]) ).
cnf(c_9267,plain,
( ~ sP0_iProver_split
| inverse(sk_c4) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_1299,c_1320,c_2529]) ).
cnf(c_9273,plain,
( ~ sP0_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_1300,c_1320,c_2592]) ).
cnf(c_9279,plain,
( ~ sP1_iProver_split
| inverse(sk_c4) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_1442,c_1463,c_2391]) ).
cnf(c_9285,plain,
( ~ sP1_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_1443,c_1463,c_2449]) ).
cnf(c_9811,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = sk_c7
| sk_c5 = identity ),
inference(superposition,[status(thm)],[c_4690,c_65]) ).
cnf(c_10325,plain,
( ~ sP2_iProver_split
| inverse(sk_c4) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_3975,c_1651,c_2391,c_4667]) ).
cnf(c_12033,plain,
( multiply(inverse(sk_c8),inverse(sk_c2)) = inverse(sk_c6)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(superposition,[status(thm)],[c_1023,c_7282]) ).
cnf(c_12035,plain,
( multiply(inverse(sk_c8),inverse(sk_c2)) = inverse(sk_c6)
| multiply(sk_c8,sk_c5) = sk_c7 ),
inference(superposition,[status(thm)],[c_1021,c_7282]) ).
cnf(c_12871,plain,
( ~ sP2_iProver_split
| inverse(sk_c3) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_4114,c_1651,c_2449,c_4750]) ).
cnf(c_13797,plain,
( sk_c8 != sk_c7
| sk_c7 != sk_c8
| multiply(sk_c8,sk_c7) = multiply(sk_c7,sk_c8) ),
inference(instantiation,[status(thm)],[c_986]) ).
cnf(c_14015,plain,
( sk_c8 = sk_c6
| inverse(sk_c2) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_9127,c_82,c_79,c_445,c_1124,c_1130,c_1171,c_1172,c_1173,c_1392,c_1538,c_1552,c_2065,c_2126,c_2371,c_2655,c_2952,c_4023,c_4075,c_9241,c_13797]) ).
cnf(c_14016,plain,
( inverse(sk_c2) = sk_c8
| sk_c8 = sk_c6 ),
inference(renaming,[status(thm)],[c_14015]) ).
cnf(c_14028,plain,
( multiply(sk_c2,sk_c8) = identity
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_14016,c_1206]) ).
cnf(c_14370,plain,
( multiply(sk_c4,sk_c8) = sk_c5
| sk_c8 = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_14028,c_77]) ).
cnf(c_14371,plain,
( multiply(sk_c8,sk_c5) = sk_c7
| sk_c8 = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_14028,c_76]) ).
cnf(c_14372,plain,
( multiply(sk_c3,sk_c7) = sk_c8
| sk_c8 = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_14028,c_74]) ).
cnf(c_14373,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = sk_c6
| sk_c6 = identity ),
inference(superposition,[status(thm)],[c_14028,c_73]) ).
cnf(c_14439,plain,
( sk_c8 = sk_c6
| inverse(sk_c1) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_9128,c_64,c_61,c_445,c_1124,c_1130,c_1171,c_1172,c_1173,c_1392,c_1538,c_1552,c_2065,c_2126,c_2371,c_2655,c_2952,c_4022,c_4075,c_9242,c_13797]) ).
cnf(c_14440,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = sk_c6 ),
inference(renaming,[status(thm)],[c_14439]) ).
cnf(c_14445,plain,
( multiply(sk_c8,sk_c7) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_14440,c_1015]) ).
cnf(c_14446,plain,
( multiply(sk_c8,sk_c7) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_14440,c_1014]) ).
cnf(c_14447,plain,
( multiply(sk_c8,sk_c7) = sk_c8
| multiply(sk_c8,sk_c5) = sk_c7
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_14440,c_1013]) ).
cnf(c_14448,plain,
( multiply(sk_c8,sk_c7) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c5
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_14440,c_1012]) ).
cnf(c_14588,plain,
( sk_c8 = sk_c7
| inverse(sk_c1) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_9811,c_64,c_445,c_1124,c_1171,c_1552,c_2371,c_4687]) ).
cnf(c_14589,plain,
( inverse(sk_c1) = sk_c8
| sk_c8 = sk_c7 ),
inference(renaming,[status(thm)],[c_14588]) ).
cnf(c_14601,plain,
( multiply(sk_c1,sk_c8) = identity
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_14589,c_1206]) ).
cnf(c_14602,plain,
( inverse(sk_c8) = sk_c1
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_14589,c_1211]) ).
cnf(c_15238,plain,
( multiply(sk_c7,sk_c8) != sk_c7
| sk_c7 != sk_c7
| sk_c7 = multiply(sk_c7,sk_c8) ),
inference(instantiation,[status(thm)],[c_1148]) ).
cnf(c_15240,plain,
( sk_c7 != multiply(sk_c7,sk_c8)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c6 = sk_c7 ),
inference(instantiation,[status(thm)],[c_2130]) ).
cnf(c_17049,plain,
( ~ sP0_iProver_split
| multiply(sk_c8,sk_c5) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_1296,c_82,c_1296]) ).
cnf(c_17073,plain,
( ~ sP1_iProver_split
| multiply(sk_c8,sk_c5) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_1439,c_64,c_1439]) ).
cnf(c_24098,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = identity ),
inference(global_subsumption_just,[status(thm)],[c_9240,c_52,c_49,c_445,c_982,c_983,c_1124,c_1130,c_1149,c_1171,c_1538,c_1552,c_2126,c_2371,c_5797,c_13797]) ).
cnf(c_24100,plain,
multiply(sk_c8,sk_c7) = sk_c6,
inference(global_subsumption_just,[status(thm)],[c_24098,c_49,c_982,c_983,c_1124,c_1130,c_1149,c_1172,c_1173,c_1538,c_2065,c_2126,c_2653,c_2952,c_5500,c_13797,c_15238,c_15240,c_24098]) ).
cnf(c_24114,plain,
( multiply(sk_c8,sk_c6) != sk_c7
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c6 != sk_c6
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(demodulation,[status(thm)],[c_438,c_24100]) ).
cnf(c_24115,plain,
( multiply(sk_c8,sk_c6) != sk_c7
| multiply(sk_c7,sk_c8) != sk_c6
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split
| sP3_iProver_split ),
inference(equality_resolution_simp,[status(thm)],[c_24114]) ).
cnf(c_24122,plain,
multiply(inverse(sk_c8),sk_c6) = sk_c7,
inference(superposition,[status(thm)],[c_24100,c_989]) ).
cnf(c_24123,plain,
multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_24100,c_88]) ).
cnf(c_24124,plain,
( inverse(sk_c8) != sk_c7
| sk_c8 != sk_c6
| ~ sP2_iProver_split ),
inference(superposition,[status(thm)],[c_24100,c_436]) ).
cnf(c_24304,plain,
multiply(sk_c6,inverse(sk_c7)) = multiply(sk_c8,identity),
inference(superposition,[status(thm)],[c_1206,c_24123]) ).
cnf(c_24451,plain,
( multiply(sk_c1,sk_c6) = sk_c7
| sk_c8 = sk_c7 ),
inference(superposition,[status(thm)],[c_14602,c_24122]) ).
cnf(c_24491,plain,
multiply(sk_c6,inverse(sk_c7)) = sk_c8,
inference(demodulation,[status(thm)],[c_24304,c_1183]) ).
cnf(c_24500,plain,
multiply(inverse(sk_c6),sk_c8) = inverse(sk_c7),
inference(superposition,[status(thm)],[c_24491,c_989]) ).
cnf(c_24521,plain,
( inverse(inverse(sk_c6)) != sk_c8
| inverse(sk_c7) != sk_c7
| ~ sP1_iProver_split ),
inference(superposition,[status(thm)],[c_24500,c_435]) ).
cnf(c_24522,plain,
( inverse(inverse(sk_c6)) != sk_c8
| inverse(sk_c7) != sk_c6
| ~ sP0_iProver_split ),
inference(superposition,[status(thm)],[c_24500,c_434]) ).
cnf(c_24524,plain,
multiply(inverse(sk_c6),multiply(sk_c8,X0)) = multiply(inverse(sk_c7),X0),
inference(superposition,[status(thm)],[c_24500,c_88]) ).
cnf(c_24896,plain,
multiply(inverse(sk_c7),sk_c7) = multiply(inverse(sk_c6),sk_c6),
inference(superposition,[status(thm)],[c_24100,c_24524]) ).
cnf(c_27153,plain,
( sk_c8 = sk_c6
| multiply(sk_c4,sk_c8) = sk_c5 ),
inference(global_subsumption_just,[status(thm)],[c_14370,c_52,c_49,c_445,c_982,c_983,c_1124,c_1129,c_1130,c_1136,c_1149,c_1171,c_1538,c_1552,c_2126,c_2371,c_4075,c_5797,c_13797,c_14448]) ).
cnf(c_27154,plain,
( multiply(sk_c4,sk_c8) = sk_c5
| sk_c8 = sk_c6 ),
inference(renaming,[status(thm)],[c_27153]) ).
cnf(c_27176,plain,
( multiply(inverse(sk_c4),sk_c5) = sk_c8
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_27154,c_989]) ).
cnf(c_27214,plain,
( sk_c8 = sk_c6
| multiply(sk_c8,sk_c5) = sk_c7 ),
inference(global_subsumption_just,[status(thm)],[c_14371,c_52,c_49,c_445,c_982,c_983,c_1124,c_1129,c_1130,c_1136,c_1149,c_1171,c_1538,c_1552,c_2126,c_2371,c_4075,c_5797,c_13797,c_14447]) ).
cnf(c_27215,plain,
( multiply(sk_c8,sk_c5) = sk_c7
| sk_c8 = sk_c6 ),
inference(renaming,[status(thm)],[c_27214]) ).
cnf(c_27273,plain,
( sk_c8 = sk_c6
| multiply(sk_c3,sk_c7) = sk_c8 ),
inference(global_subsumption_just,[status(thm)],[c_14372,c_52,c_49,c_445,c_982,c_983,c_1124,c_1129,c_1130,c_1136,c_1149,c_1171,c_1538,c_1552,c_2126,c_2371,c_4075,c_5797,c_13797,c_14446]) ).
cnf(c_27274,plain,
( multiply(sk_c3,sk_c7) = sk_c8
| sk_c8 = sk_c6 ),
inference(renaming,[status(thm)],[c_27273]) ).
cnf(c_27291,plain,
( multiply(inverse(sk_c3),sk_c8) = sk_c7
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_27274,c_989]) ).
cnf(c_27293,plain,
( inverse(sk_c3) != sk_c7
| ~ sP2_iProver_split
| sk_c8 = sk_c6 ),
inference(superposition,[status(thm)],[c_27274,c_436]) ).
cnf(c_27339,plain,
( ~ sP2_iProver_split
| sk_c8 = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_27293,c_12871,c_27293]) ).
cnf(c_27345,plain,
( inverse(sk_c8) != sk_c7
| ~ sP2_iProver_split ),
inference(backward_subsumption_resolution,[status(thm)],[c_24124,c_27339]) ).
cnf(c_27451,plain,
( sk_c8 = sk_c6
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(global_subsumption_just,[status(thm)],[c_14373,c_445,c_1129,c_1130,c_1136,c_4075,c_14445,c_24100]) ).
cnf(c_27452,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = sk_c6 ),
inference(renaming,[status(thm)],[c_27451]) ).
cnf(c_27816,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_27452,c_27345,c_27291,c_27215,c_27176,c_24896,c_24522,c_24521,c_24500,c_24491,c_24451,c_24304,c_24122,c_24115,c_17073,c_17049,c_14601,c_12871,c_12035,c_12033,c_10325,c_9285,c_9279,c_9273,c_9267,c_7251,c_7249,c_7245,c_7243,c_6829,c_6698,c_4772,c_4750,c_4111,c_3971,c_2345,c_1955,c_1946,c_1943,c_1011,c_1010,c_1008,c_84,c_82,c_81,c_79,c_72,c_70,c_69,c_64,c_61,c_60,c_58,c_57,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP293-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.16/0.35 % Computer : n011.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Tue Aug 29 01:13:56 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.21/0.51 Running first-order theorem proving
% 0.21/0.51 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 9.95/2.23 % SZS status Started for theBenchmark.p
% 9.95/2.23 % SZS status Unsatisfiable for theBenchmark.p
% 9.95/2.23
% 9.95/2.23 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 9.95/2.23
% 9.95/2.23 ------ iProver source info
% 9.95/2.23
% 9.95/2.23 git: date: 2023-05-31 18:12:56 +0000
% 9.95/2.23 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 9.95/2.23 git: non_committed_changes: false
% 9.95/2.23 git: last_make_outside_of_git: false
% 9.95/2.23
% 9.95/2.23 ------ Parsing...successful
% 9.95/2.23
% 9.95/2.23
% 9.95/2.23
% 9.95/2.23 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 9.95/2.23
% 9.95/2.23 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 9.95/2.23
% 9.95/2.23 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 9.95/2.23 ------ Proving...
% 9.95/2.23 ------ Problem Properties
% 9.95/2.23
% 9.95/2.23
% 9.95/2.23 clauses 44
% 9.95/2.23 conjectures 41
% 9.95/2.23 EPR 0
% 9.95/2.23 Horn 7
% 9.95/2.23 unary 3
% 9.95/2.23 binary 36
% 9.95/2.23 lits 94
% 9.95/2.23 lits eq 86
% 9.95/2.23 fd_pure 0
% 9.95/2.23 fd_pseudo 0
% 9.95/2.23 fd_cond 0
% 9.95/2.23 fd_pseudo_cond 0
% 9.95/2.23 AC symbols 0
% 9.95/2.23
% 9.95/2.23 ------ Schedule dynamic 5 is on
% 9.95/2.23
% 9.95/2.23 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.95/2.23
% 9.95/2.23
% 9.95/2.23 ------
% 9.95/2.23 Current options:
% 9.95/2.23 ------
% 9.95/2.23
% 9.95/2.23
% 9.95/2.23
% 9.95/2.23
% 9.95/2.23 ------ Proving...
% 9.95/2.23
% 9.95/2.23
% 9.95/2.23 % SZS status Unsatisfiable for theBenchmark.p
% 9.95/2.23
% 9.95/2.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.95/2.24
% 9.95/2.24
%------------------------------------------------------------------------------